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Finding the Fourth Proportional to 55,605.83, 83,409.14 and 44,498.30

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Solution

The fourth proportional to 55,605.83, 83,409.14 and 44,498.30 is: 66,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,605.83 : 83,409.14 = 44,498.30 : x
  2. Step 2: Convert to fraction form
    55,605.83/83,409.14 = 44,498.30/x
  3. Step 3: Cross multiply
    55,605.83x = 83,409.14 × 44,498.30
  4. Step 4: Simplify right side
    55,605.83x = 3,711,564,628.66
  5. Step 5: Solve for x
    x = 3,711,564,628.66/55,605.83
  6. Step 6: Final answer
    x = 66,747.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.